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Finding the Fourth Proportional to 101,129.58, 151,681.41 and 31,003.02

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Solution

The fourth proportional to 101,129.58, 151,681.41 and 31,003.02 is: 46,500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,129.58 : 151,681.41 = 31,003.02 : x
  2. Step 2: Convert to fraction form
    101,129.58/151,681.41 = 31,003.02/x
  3. Step 3: Cross multiply
    101,129.58x = 151,681.41 × 31,003.02
  4. Step 4: Simplify right side
    101,129.58x = 4,702,581,787.86
  5. Step 5: Solve for x
    x = 4,702,581,787.86/101,129.58
  6. Step 6: Final answer
    x = 46,500.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.